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Finding the Fourth Proportional to 74,457, 102,748.34 and 42,623.78

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Solution

The fourth proportional to 74,457, 102,748.34 and 42,623.78 is: 58,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,457 : 102,748.34 = 42,623.78 : x
  2. Step 2: Convert to fraction form
    74,457/102,748.34 = 42,623.78/x
  3. Step 3: Cross multiply
    74,457x = 102,748.34 × 42,623.78
  4. Step 4: Simplify right side
    74,457x = 4,379,522,232.34
  5. Step 5: Solve for x
    x = 4,379,522,232.34/74,457
  6. Step 6: Final answer
    x = 58,819.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.